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Finding the Third Proportional to 57,298.50 and 123,061.50

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Solution

The third proportional to 57,298.50 and 123,061.50 is: 264,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,298.50 : 123,061.50 = 123,061.50 : x
  2. Step 2: Convert to fraction form
    57,298.50/123,061.50 = 123,061.50/x
  3. Step 3: Cross multiply
    57,298.50x = 123,061.50 × 123,061.50
  4. Step 4: Simplify right side
    57,298.50x = 15,144,132,782.25
  5. Step 5: Solve for x
    x = 15,144,132,782.25/57,298.50
  6. Step 6: Final answer
    x = 264,302.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.